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Finding the Third Proportional to 1,100,619 and 1,666,327.50

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Solution

The third proportional to 1,100,619 and 1,666,327.50 is: 2,522,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,619 : 1,666,327.50 = 1,666,327.50 : x
  2. Step 2: Convert to fraction form
    1,100,619/1,666,327.50 = 1,666,327.50/x
  3. Step 3: Cross multiply
    1,100,619x = 1,666,327.50 × 1,666,327.50
  4. Step 4: Simplify right side
    1,100,619x = 2,776,647,337,256.25
  5. Step 5: Solve for x
    x = 2,776,647,337,256.25/1,100,619
  6. Step 6: Final answer
    x = 2,522,805.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.